9(x+8)=5(x-(4-x))

Solution for 9(x+8)=5(x-(4-x)) equation:

Simplifying
9(x + 8) = 5(x + -1(4 + -1x))

Reorder the terms:
9(8 + x) = 5(x + -1(4 + -1x))
(8 * 9 + x * 9) = 5(x + -1(4 + -1x))
(72 + 9x) = 5(x + -1(4 + -1x))
72 + 9x = 5(x + (4 * -1 + -1x * -1))
72 + 9x = 5(x + (-4 + 1x))

Reorder the terms:
72 + 9x = 5(-4 + x + 1x)

Combine like terms: x + 1x = 2x
72 + 9x = 5(-4 + 2x)
72 + 9x = (-4 * 5 + 2x * 5)
72 + 9x = (-20 + 10x)

Solving
72 + 9x = -20 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
72 + 9x + -10x = -20 + 10x + -10x

Combine like terms: 9x + -10x = -1x
72 + -1x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
72 + -1x = -20 + 0
72 + -1x = -20

Add '-72' to each side of the equation.
72 + -72 + -1x = -20 + -72

Combine like terms: 72 + -72 = 0
0 + -1x = -20 + -72
-1x = -20 + -72

Combine like terms: -20 + -72 = -92
-1x = -92

Divide each side by '-1'.
x = 92

Simplifying
x = 92